Proving UTXO set inclusion in zero-knowledge

The inquiry highlights the capabilities and boundaries of utilizing aut-ct in verifying properties of a UTXO (Unspent Transaction Output) within blockchain technology. The essence of the question revolves around the extent to which aut-ct can be employed to affirm specific types of knowledge or execution proofs concerning a UTXO. Specifically, it probes whether it is feasible to use aut-ct to demonstrate the existence of a witness that allows for the execution of a script associated with a UTXO. This touches on a broader theme of exploring the practical applications and limitations of cryptographic tools in enhancing the security and functionality of blockchain transactions.